constants.h (11607B)
1 #define UINT8_BIT(i) (UINT8_C(1) << (uint8_t)(i)) 2 3 #define FACTORIAL_MAX INT64_C(12) 4 5 #define POW_2_11 INT64_C(2048) 6 #define POW_3_7 INT64_C(2187) 7 #define FACT_12 INT64_C(479001600) 8 #define FACT_8 INT64_C(40320) 9 #define COMB_12_4 INT64_C(495) 10 #define COMB_8_4 INT64_C(70) 11 12 STATIC int64_t binomial[12][12] = { 13 {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 14 {1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 15 {1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 16 {1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 17 {1, 4, 6, 4, 1, 0, 0, 0, 0, 0, 0, 0}, 18 {1, 5, 10, 10, 5, 1, 0, 0, 0, 0, 0, 0}, 19 {1, 6, 15, 20, 15, 6, 1, 0, 0, 0, 0, 0}, 20 {1, 7, 21, 35, 35, 21, 7, 1, 0, 0, 0, 0}, 21 {1, 8, 28, 56, 70, 56, 28, 8, 1, 0, 0, 0}, 22 {1, 9, 36, 84, 126, 126, 84, 36, 9, 1, 0, 0}, 23 {1, 10, 45, 120, 210, 252, 210, 120, 45, 10, 1, 0}, 24 {1, 11, 55, 165, 330, 462, 462, 330, 165, 55, 11, 1}, 25 }; 26 27 #define MOVE_U UINT8_C(0) 28 #define MOVE_U2 UINT8_C(1) 29 #define MOVE_U3 UINT8_C(2) 30 #define MOVE_D UINT8_C(3) 31 #define MOVE_D2 UINT8_C(4) 32 #define MOVE_D3 UINT8_C(5) 33 #define MOVE_R UINT8_C(6) 34 #define MOVE_R2 UINT8_C(7) 35 #define MOVE_R3 UINT8_C(8) 36 #define MOVE_L UINT8_C(9) 37 #define MOVE_L2 UINT8_C(10) 38 #define MOVE_L3 UINT8_C(11) 39 #define MOVE_F UINT8_C(12) 40 #define MOVE_F2 UINT8_C(13) 41 #define MOVE_F3 UINT8_C(14) 42 #define MOVE_B UINT8_C(15) 43 #define MOVE_B2 UINT8_C(16) 44 #define MOVE_B3 UINT8_C(17) 45 46 #define TRANS_UFr UINT8_C(0) 47 #define TRANS_ULr UINT8_C(1) 48 #define TRANS_UBr UINT8_C(2) 49 #define TRANS_URr UINT8_C(3) 50 #define TRANS_DFr UINT8_C(4) 51 #define TRANS_DLr UINT8_C(5) 52 #define TRANS_DBr UINT8_C(6) 53 #define TRANS_DRr UINT8_C(7) 54 #define TRANS_RUr UINT8_C(8) 55 #define TRANS_RFr UINT8_C(9) 56 #define TRANS_RDr UINT8_C(10) 57 #define TRANS_RBr UINT8_C(11) 58 #define TRANS_LUr UINT8_C(12) 59 #define TRANS_LFr UINT8_C(13) 60 #define TRANS_LDr UINT8_C(14) 61 #define TRANS_LBr UINT8_C(15) 62 #define TRANS_FUr UINT8_C(16) 63 #define TRANS_FRr UINT8_C(17) 64 #define TRANS_FDr UINT8_C(18) 65 #define TRANS_FLr UINT8_C(19) 66 #define TRANS_BUr UINT8_C(20) 67 #define TRANS_BRr UINT8_C(21) 68 #define TRANS_BDr UINT8_C(22) 69 #define TRANS_BLr UINT8_C(23) 70 71 #define TRANS_UFm UINT8_C(24) 72 #define TRANS_ULm UINT8_C(25) 73 #define TRANS_UBm UINT8_C(26) 74 #define TRANS_URm UINT8_C(27) 75 #define TRANS_DFm UINT8_C(28) 76 #define TRANS_DLm UINT8_C(29) 77 #define TRANS_DBm UINT8_C(30) 78 #define TRANS_DRm UINT8_C(31) 79 #define TRANS_RUm UINT8_C(32) 80 #define TRANS_RFm UINT8_C(33) 81 #define TRANS_RDm UINT8_C(34) 82 #define TRANS_RBm UINT8_C(35) 83 #define TRANS_LUm UINT8_C(36) 84 #define TRANS_LFm UINT8_C(37) 85 #define TRANS_LDm UINT8_C(38) 86 #define TRANS_LBm UINT8_C(39) 87 #define TRANS_FUm UINT8_C(40) 88 #define TRANS_FRm UINT8_C(41) 89 #define TRANS_FDm UINT8_C(42) 90 #define TRANS_FLm UINT8_C(43) 91 #define TRANS_BUm UINT8_C(44) 92 #define TRANS_BRm UINT8_C(45) 93 #define TRANS_BDm UINT8_C(46) 94 #define TRANS_BLm UINT8_C(47) 95 96 #define AXIS_UD UINT8_C(0) 97 #define AXIS_RL UINT8_C(1) 98 #define AXIS_FB UINT8_C(2) 99 100 #define NMOVES (1+MOVE_B3) 101 #define NTRANS (1+TRANS_BLm) 102 103 #define MM_ALLMOVES UINT32_C(0x3FFFF) 104 #define MM_NOHALFTURNS UINT32_C(0x2DB6D) 105 #define MM_SINGLE(m) (UINT32_C(1) << (uint32_t)(m)) 106 #define MM_FACE(m) (UINT32_C(7) << (uint32_t)(m)) 107 #define MM_EO (\ 108 MM_FACE(MOVE_U) | MM_FACE(MOVE_D) |\ 109 MM_FACE(MOVE_R) | MM_FACE(MOVE_L) |\ 110 MM_SINGLE(MOVE_F2) | MM_SINGLE(MOVE_B2)) 111 #define MM_DR (\ 112 MM_FACE(MOVE_U) | MM_FACE(MOVE_D) |\ 113 MM_SINGLE(MOVE_R2) | MM_SINGLE(MOVE_L2) |\ 114 MM_SINGLE(MOVE_F2) | MM_SINGLE(MOVE_B2)) 115 #define MM_HTR (MM_ALLMOVES & ~MM_NOHALFTURNS) 116 117 #define TM_ALLTRANS UINT64_C(0xFFFFFFFFFFFF) 118 #define TM_SINGLE(t) (UINT64_C(1) << (uint64_t)(t)) 119 #define TM_UDRLFIX (\ 120 TM_SINGLE(TRANS_UFr) | TM_SINGLE(TRANS_UBr) | TM_SINGLE(TRANS_UFm) | \ 121 TM_SINGLE(TRANS_UBm) | TM_SINGLE(TRANS_DFr) | TM_SINGLE(TRANS_DBr) | \ 122 TM_SINGLE(TRANS_DFm) | TM_SINGLE(TRANS_DBm)) 123 #define TM_UDFIX (\ 124 TM_SINGLE(TRANS_UFr) | TM_SINGLE(TRANS_UBr) | TM_SINGLE(TRANS_URr) | \ 125 TM_SINGLE(TRANS_ULr) | TM_SINGLE(TRANS_UFm) | TM_SINGLE(TRANS_UBm) | \ 126 TM_SINGLE(TRANS_URm) | TM_SINGLE(TRANS_ULm) | TM_SINGLE(TRANS_DFr) | \ 127 TM_SINGLE(TRANS_DBr) | TM_SINGLE(TRANS_DRr) | TM_SINGLE(TRANS_DLr) | \ 128 TM_SINGLE(TRANS_DFm) | TM_SINGLE(TRANS_DBm) | TM_SINGLE(TRANS_DRm) | \ 129 TM_SINGLE(TRANS_DLm)) 130 131 #define CORNER_UFR UINT8_C(0) 132 #define CORNER_UBL UINT8_C(1) 133 #define CORNER_DFL UINT8_C(2) 134 #define CORNER_DBR UINT8_C(3) 135 #define CORNER_UFL UINT8_C(4) 136 #define CORNER_UBR UINT8_C(5) 137 #define CORNER_DFR UINT8_C(6) 138 #define CORNER_DBL UINT8_C(7) 139 140 #define EDGE_UF UINT8_C(0) 141 #define EDGE_UB UINT8_C(1) 142 #define EDGE_DB UINT8_C(2) 143 #define EDGE_DF UINT8_C(3) 144 #define EDGE_UR UINT8_C(4) 145 #define EDGE_UL UINT8_C(5) 146 #define EDGE_DL UINT8_C(6) 147 #define EDGE_DR UINT8_C(7) 148 #define EDGE_FR UINT8_C(8) 149 #define EDGE_FL UINT8_C(9) 150 #define EDGE_BL UINT8_C(10) 151 #define EDGE_BR UINT8_C(11) 152 153 #define EOSHIFT UINT8_C(4) 154 #define COSHIFT UINT8_C(5) 155 156 #define PBITS UINT8_C(0xF) 157 #define ESEPBIT_1 UINT8_C(0x4) 158 #define ESEPBIT_2 UINT8_C(0x8) 159 #define CSEPBIT UINT8_C(0x4) 160 #define EOBIT UINT8_C(0x10) 161 #define COBITS UINT8_C(0xF0) 162 #define COBITS_2 UINT8_C(0x60) 163 #define CTWIST_CW UINT8_C(0x20) 164 #define CTWIST_CCW UINT8_C(0x40) 165 #define EFLIP UINT8_C(0x10) 166 #define UINT8_ERROR UINT8_MAX 167 168 STATIC const uint32_t allowedmask[] = { 169 UINT32_C(0x3FFF8), 170 UINT32_C(0x3FFC0), 171 UINT32_C(0x3FE3F), 172 UINT32_C(0x3F03F), 173 UINT32_C(0x38FFF), 174 UINT32_C(0x00FFF) 175 }; 176 177 STATIC const char *cornerstr[] = { 178 [CORNER_UFR] = "UFR", 179 [CORNER_UBL] = "UBL", 180 [CORNER_DFL] = "DFL", 181 [CORNER_DBR] = "DBR", 182 [CORNER_UFL] = "UFL", 183 [CORNER_UBR] = "UBR", 184 [CORNER_DFR] = "DFR", 185 [CORNER_DBL] = "DBL" 186 }; 187 188 STATIC const char *cornerstralt[] = { 189 [CORNER_UFR] = "URF", 190 [CORNER_UBL] = "ULB", 191 [CORNER_DFL] = "DLF", 192 [CORNER_DBR] = "DRB", 193 [CORNER_UFL] = "ULF", 194 [CORNER_UBR] = "URB", 195 [CORNER_DFR] = "DRF", 196 [CORNER_DBL] = "DLB" 197 }; 198 199 STATIC const char *edgestr[] = { 200 [EDGE_UF] = "UF", 201 [EDGE_UB] = "UB", 202 [EDGE_DB] = "DB", 203 [EDGE_DF] = "DF", 204 [EDGE_UR] = "UR", 205 [EDGE_UL] = "UL", 206 [EDGE_DL] = "DL", 207 [EDGE_DR] = "DR", 208 [EDGE_FR] = "FR", 209 [EDGE_FL] = "FL", 210 [EDGE_BL] = "BL", 211 [EDGE_BR] = "BR" 212 }; 213 214 STATIC const char *movestr[] = { 215 [MOVE_U] = "U", 216 [MOVE_U2] = "U2", 217 [MOVE_U3] = "U'", 218 [MOVE_D] = "D", 219 [MOVE_D2] = "D2", 220 [MOVE_D3] = "D'", 221 [MOVE_R] = "R", 222 [MOVE_R2] = "R2", 223 [MOVE_R3] = "R'", 224 [MOVE_L] = "L", 225 [MOVE_L2] = "L2", 226 [MOVE_L3] = "L'", 227 [MOVE_F] = "F", 228 [MOVE_F2] = "F2", 229 [MOVE_F3] = "F'", 230 [MOVE_B] = "B", 231 [MOVE_B2] = "B2", 232 [MOVE_B3] = "B'", 233 }; 234 235 STATIC const char *transstr[] = { 236 [TRANS_UFr] = "rotation UF", 237 [TRANS_UFm] = "mirrored UF", 238 [TRANS_ULr] = "rotation UL", 239 [TRANS_ULm] = "mirrored UL", 240 [TRANS_UBr] = "rotation UB", 241 [TRANS_UBm] = "mirrored UB", 242 [TRANS_URr] = "rotation UR", 243 [TRANS_URm] = "mirrored UR", 244 [TRANS_DFr] = "rotation DF", 245 [TRANS_DFm] = "mirrored DF", 246 [TRANS_DLr] = "rotation DL", 247 [TRANS_DLm] = "mirrored DL", 248 [TRANS_DBr] = "rotation DB", 249 [TRANS_DBm] = "mirrored DB", 250 [TRANS_DRr] = "rotation DR", 251 [TRANS_DRm] = "mirrored DR", 252 [TRANS_RUr] = "rotation RU", 253 [TRANS_RUm] = "mirrored RU", 254 [TRANS_RFr] = "rotation RF", 255 [TRANS_RFm] = "mirrored RF", 256 [TRANS_RDr] = "rotation RD", 257 [TRANS_RDm] = "mirrored RD", 258 [TRANS_RBr] = "rotation RB", 259 [TRANS_RBm] = "mirrored RB", 260 [TRANS_LUr] = "rotation LU", 261 [TRANS_LUm] = "mirrored LU", 262 [TRANS_LFr] = "rotation LF", 263 [TRANS_LFm] = "mirrored LF", 264 [TRANS_LDr] = "rotation LD", 265 [TRANS_LDm] = "mirrored LD", 266 [TRANS_LBr] = "rotation LB", 267 [TRANS_LBm] = "mirrored LB", 268 [TRANS_FUr] = "rotation FU", 269 [TRANS_FUm] = "mirrored FU", 270 [TRANS_FRr] = "rotation FR", 271 [TRANS_FRm] = "mirrored FR", 272 [TRANS_FDr] = "rotation FD", 273 [TRANS_FDm] = "mirrored FD", 274 [TRANS_FLr] = "rotation FL", 275 [TRANS_FLm] = "mirrored FL", 276 [TRANS_BUr] = "rotation BU", 277 [TRANS_BUm] = "mirrored BU", 278 [TRANS_BRr] = "rotation BR", 279 [TRANS_BRm] = "mirrored BR", 280 [TRANS_BDr] = "rotation BD", 281 [TRANS_BDm] = "mirrored BD", 282 [TRANS_BLr] = "rotation BL", 283 [TRANS_BLm] = "mirrored BL", 284 }; 285 286 static uint8_t inverse_trans_table[48] = { 287 [TRANS_UFr] = TRANS_UFr, 288 [TRANS_UFm] = TRANS_UFm, 289 [TRANS_ULr] = TRANS_URr, 290 [TRANS_ULm] = TRANS_ULm, 291 [TRANS_UBr] = TRANS_UBr, 292 [TRANS_UBm] = TRANS_UBm, 293 [TRANS_URr] = TRANS_ULr, 294 [TRANS_URm] = TRANS_URm, 295 [TRANS_DFr] = TRANS_DFr, 296 [TRANS_DFm] = TRANS_DFm, 297 [TRANS_DLr] = TRANS_DLr, 298 [TRANS_DLm] = TRANS_DRm, 299 [TRANS_DBr] = TRANS_DBr, 300 [TRANS_DBm] = TRANS_DBm, 301 [TRANS_DRr] = TRANS_DRr, 302 [TRANS_DRm] = TRANS_DLm, 303 [TRANS_RUr] = TRANS_FRr, 304 [TRANS_RUm] = TRANS_FLm, 305 [TRANS_RFr] = TRANS_LFr, 306 [TRANS_RFm] = TRANS_RFm, 307 [TRANS_RDr] = TRANS_BLr, 308 [TRANS_RDm] = TRANS_BRm, 309 [TRANS_RBr] = TRANS_RBr, 310 [TRANS_RBm] = TRANS_LBm, 311 [TRANS_LUr] = TRANS_FLr, 312 [TRANS_LUm] = TRANS_FRm, 313 [TRANS_LFr] = TRANS_RFr, 314 [TRANS_LFm] = TRANS_LFm, 315 [TRANS_LDr] = TRANS_BRr, 316 [TRANS_LDm] = TRANS_BLm, 317 [TRANS_LBr] = TRANS_LBr, 318 [TRANS_LBm] = TRANS_RBm, 319 [TRANS_FUr] = TRANS_FUr, 320 [TRANS_FUm] = TRANS_FUm, 321 [TRANS_FRr] = TRANS_RUr, 322 [TRANS_FRm] = TRANS_LUm, 323 [TRANS_FDr] = TRANS_BUr, 324 [TRANS_FDm] = TRANS_BUm, 325 [TRANS_FLr] = TRANS_LUr, 326 [TRANS_FLm] = TRANS_RUm, 327 [TRANS_BUr] = TRANS_FDr, 328 [TRANS_BUm] = TRANS_FDm, 329 [TRANS_BRr] = TRANS_LDr, 330 [TRANS_BRm] = TRANS_RDm, 331 [TRANS_BDr] = TRANS_BDr, 332 [TRANS_BDm] = TRANS_BDm, 333 [TRANS_BLr] = TRANS_RDr, 334 [TRANS_BLm] = TRANS_LDm, 335 }; 336 337 static uint8_t trans_move_table[48][3] = { 338 [TRANS_UFr] = { MOVE_U, MOVE_R, MOVE_F }, 339 [TRANS_UFm] = { MOVE_U, MOVE_L, MOVE_F }, 340 [TRANS_ULr] = { MOVE_U, MOVE_F, MOVE_L }, 341 [TRANS_ULm] = { MOVE_U, MOVE_F, MOVE_R }, 342 [TRANS_UBr] = { MOVE_U, MOVE_L, MOVE_B }, 343 [TRANS_UBm] = { MOVE_U, MOVE_R, MOVE_B }, 344 [TRANS_URr] = { MOVE_U, MOVE_B, MOVE_R }, 345 [TRANS_URm] = { MOVE_U, MOVE_B, MOVE_L }, 346 [TRANS_DFr] = { MOVE_D, MOVE_L, MOVE_F }, 347 [TRANS_DFm] = { MOVE_D, MOVE_R, MOVE_F }, 348 [TRANS_DLr] = { MOVE_D, MOVE_B, MOVE_L }, 349 [TRANS_DLm] = { MOVE_D, MOVE_B, MOVE_R }, 350 [TRANS_DBr] = { MOVE_D, MOVE_R, MOVE_B }, 351 [TRANS_DBm] = { MOVE_D, MOVE_L, MOVE_B }, 352 [TRANS_DRr] = { MOVE_D, MOVE_F, MOVE_R }, 353 [TRANS_DRm] = { MOVE_D, MOVE_F, MOVE_L }, 354 [TRANS_RUr] = { MOVE_R, MOVE_F, MOVE_U }, 355 [TRANS_RUm] = { MOVE_L, MOVE_F, MOVE_U }, 356 [TRANS_RFr] = { MOVE_R, MOVE_D, MOVE_F }, 357 [TRANS_RFm] = { MOVE_L, MOVE_D, MOVE_F }, 358 [TRANS_RDr] = { MOVE_R, MOVE_B, MOVE_D }, 359 [TRANS_RDm] = { MOVE_L, MOVE_B, MOVE_D }, 360 [TRANS_RBr] = { MOVE_R, MOVE_U, MOVE_B }, 361 [TRANS_RBm] = { MOVE_L, MOVE_U, MOVE_B }, 362 [TRANS_LUr] = { MOVE_L, MOVE_B, MOVE_U }, 363 [TRANS_LUm] = { MOVE_R, MOVE_B, MOVE_U }, 364 [TRANS_LFr] = { MOVE_L, MOVE_U, MOVE_F }, 365 [TRANS_LFm] = { MOVE_R, MOVE_U, MOVE_F }, 366 [TRANS_LDr] = { MOVE_L, MOVE_F, MOVE_D }, 367 [TRANS_LDm] = { MOVE_R, MOVE_F, MOVE_D }, 368 [TRANS_LBr] = { MOVE_L, MOVE_D, MOVE_B }, 369 [TRANS_LBm] = { MOVE_R, MOVE_D, MOVE_B }, 370 [TRANS_FUr] = { MOVE_F, MOVE_L, MOVE_U }, 371 [TRANS_FUm] = { MOVE_F, MOVE_R, MOVE_U }, 372 [TRANS_FRr] = { MOVE_F, MOVE_U, MOVE_R }, 373 [TRANS_FRm] = { MOVE_F, MOVE_U, MOVE_L }, 374 [TRANS_FDr] = { MOVE_F, MOVE_R, MOVE_D }, 375 [TRANS_FDm] = { MOVE_F, MOVE_L, MOVE_D }, 376 [TRANS_FLr] = { MOVE_F, MOVE_D, MOVE_L }, 377 [TRANS_FLm] = { MOVE_F, MOVE_D, MOVE_R }, 378 [TRANS_BUr] = { MOVE_B, MOVE_R, MOVE_U }, 379 [TRANS_BUm] = { MOVE_B, MOVE_L, MOVE_U }, 380 [TRANS_BRr] = { MOVE_B, MOVE_D, MOVE_R }, 381 [TRANS_BRm] = { MOVE_B, MOVE_D, MOVE_L }, 382 [TRANS_BDr] = { MOVE_B, MOVE_L, MOVE_D }, 383 [TRANS_BDm] = { MOVE_B, MOVE_R, MOVE_D }, 384 [TRANS_BLr] = { MOVE_B, MOVE_U, MOVE_L }, 385 [TRANS_BLm] = { MOVE_B, MOVE_U, MOVE_R }, 386 };